Assume a planet with mass M and radius R. (a) Find the strength of its gravitational...

Assume a planet with mass M and radius R.

(a) Find the strength of its gravitational field at the surface, g. [5]

(b) Find the escape velocity, vesc, for a mass on the planet's surface in terms of M and R. [10]

(c) Show that vesc=√2gR . [3]

(d) Calculate the numeric value of the escape velocity from Earth without using Earth's mass. [2]

Expert Solution

(a) for a planet of mass M and radius R ,the strength of gravitational field g =

(b) the escape velocity of an object from the planet surface is √(2GM/R)

(c) escape velocity in term of g and R is √2gR

(d) the escape velocity of earth is 11.2 km/s

genius_generous answered 2 years ago

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